Question

Find the common factors of 15 and 25.

Answer 1

Hint: To solve this question, we will first find the factors of 15 and 25 individually and then filter out the common ones between them. The factor of a number is defined as a number which divides the given number completely. For example, factors of 10 are 1, 2, 5 and 10.

Complete step-by-step answer:
We need to find the common factors of 15 and 25. First we will write the individual factors-
Factors(15) - 1, 3, 5, 15
Factors(25) - 1, 5, 25
From these, we can clearly see that 1 and 5 are the factors of both the numbers 15 and 25 respectively. Hence, the common factors are- 1, 5.
This is the required answer.

Note: Students often get confused between factors and multiples of a number. A factor is a number which exactly divides the given number. A multiple is a number which is exactly divided by the given number. For example,
Factors(10) - 1, 2, 5, 10
Multiples(10) - 10, 20, 30 and so on